Stability of a two-dimensional biomorphoelastic model for post-burn contraction

We consider the stability analysis of a two-dimensional model for post-burn contraction. The model is based on morphoelasticity for permanent deformations and combined with a chemical-biological model that incorporates cellular densities, collagen density, and the concentration of chemoattractants....

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Detalles Bibliográficos
Autores principales: Egberts, Ginger, Vermolen, Fred, van Zuijlen, Paul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10038978/
https://www.ncbi.nlm.nih.gov/pubmed/36964257
http://dx.doi.org/10.1007/s00285-023-01893-w
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author Egberts, Ginger
Vermolen, Fred
van Zuijlen, Paul
author_facet Egberts, Ginger
Vermolen, Fred
van Zuijlen, Paul
author_sort Egberts, Ginger
collection PubMed
description We consider the stability analysis of a two-dimensional model for post-burn contraction. The model is based on morphoelasticity for permanent deformations and combined with a chemical-biological model that incorporates cellular densities, collagen density, and the concentration of chemoattractants. We formulate stability conditions depending on the decay rate of signaling molecules for both the continuous partial differential equations-based problem and the (semi-)discrete representation. We analyze the difference and convergence between the resulting spatial eigenvalues from the continuous and semi-discrete problems.
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spelling pubmed-100389782023-03-26 Stability of a two-dimensional biomorphoelastic model for post-burn contraction Egberts, Ginger Vermolen, Fred van Zuijlen, Paul J Math Biol Article We consider the stability analysis of a two-dimensional model for post-burn contraction. The model is based on morphoelasticity for permanent deformations and combined with a chemical-biological model that incorporates cellular densities, collagen density, and the concentration of chemoattractants. We formulate stability conditions depending on the decay rate of signaling molecules for both the continuous partial differential equations-based problem and the (semi-)discrete representation. We analyze the difference and convergence between the resulting spatial eigenvalues from the continuous and semi-discrete problems. Springer Berlin Heidelberg 2023-03-24 2023 /pmc/articles/PMC10038978/ /pubmed/36964257 http://dx.doi.org/10.1007/s00285-023-01893-w Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Egberts, Ginger
Vermolen, Fred
van Zuijlen, Paul
Stability of a two-dimensional biomorphoelastic model for post-burn contraction
title Stability of a two-dimensional biomorphoelastic model for post-burn contraction
title_full Stability of a two-dimensional biomorphoelastic model for post-burn contraction
title_fullStr Stability of a two-dimensional biomorphoelastic model for post-burn contraction
title_full_unstemmed Stability of a two-dimensional biomorphoelastic model for post-burn contraction
title_short Stability of a two-dimensional biomorphoelastic model for post-burn contraction
title_sort stability of a two-dimensional biomorphoelastic model for post-burn contraction
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10038978/
https://www.ncbi.nlm.nih.gov/pubmed/36964257
http://dx.doi.org/10.1007/s00285-023-01893-w
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AT vermolenfred stabilityofatwodimensionalbiomorphoelasticmodelforpostburncontraction
AT vanzuijlenpaul stabilityofatwodimensionalbiomorphoelasticmodelforpostburncontraction

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